On the metric theory of multiplicative Diophantine approximation

DOI10.1007/s11854-022-0266-8arXiv2010.09004MaRDI QIDQ6113034

Han Yu

Publication date: 10 July 2023

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09004

zbMATH Keywords

Borel-Cantelli lemmaconjecture of Beresnevich, Haynes, and Velaniinhomogeneous metric Diophantine approximationmetric multiplicative Diophantine approximationnon-monotonic approximation functions

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Sequences, discrepancies and applications
• Approximation by reduced fractions
• Bohr sets and multiplicative Diophantine approximation
• On the Duffin-Schaeffer conjecture
• On the metric theory of inhomogeneous Diophantine approximation: an Erdős-Vaaler type result
• Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation
• Über die metrische Theorie der diophantischen Approximation
• Measure theoretic laws for lim sup sets
• Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
• A Fourier-analytic approach to inhomogeneous Diophantine approximation
• Metric Simultaneous Diophantine Approximation

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